TSTP Solution File: HAL003+2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HAL003+2 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 12:09:32 EDT 2024
% Result : CounterSatisfiable 1.31s 0.54s
% Output : FiniteModel 1.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : HAL003+2 : TPTP v8.1.2. Released v2.6.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 03:21:57 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (3071)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (3074)WARNING: value z3 for option sas not known
% 0.21/0.38 % (3073)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (3075)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (3072)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (3076)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.38 % (3077)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.38 % (3078)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.38 % (3074)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [2]
% 0.21/0.41 TRYING [3]
% 0.21/0.41 TRYING [3]
% 1.31/0.54 Finite Model Found!
% 1.31/0.54 % SZS status CounterSatisfiable for theBenchmark
% 1.43/0.54 % (3072)First to succeed.
% 1.43/0.55 % SZS output start FiniteModel for theBenchmark
% 1.43/0.55 tff(declare_$i,type,$i:$tType).
% 1.43/0.55 tff(declare_$i1,type,alpha:$i).
% 1.43/0.55 tff(declare_$i2,type,gamma:$i).
% 1.43/0.55 tff(declare_$i3,type,delta:$i).
% 1.43/0.55 tff(finite_domain,axiom,
% 1.43/0.55 ! [X:$i] : (
% 1.43/0.55 X = alpha | X = gamma | X = delta
% 1.43/0.55 ) ).
% 1.43/0.55
% 1.43/0.55 tff(distinct_domain,axiom,
% 1.43/0.55 alpha != gamma & alpha != delta & gamma != delta
% 1.43/0.55 ).
% 1.43/0.55
% 1.43/0.55 tff(declare_bool,type,$o:$tType).
% 1.43/0.55 tff(declare_bool1,type,fmb_bool_1:$o).
% 1.43/0.55 tff(finite_domain,axiom,
% 1.43/0.55 ! [X:$o] : (
% 1.43/0.55 X = fmb_bool_1
% 1.43/0.55 ) ).
% 1.43/0.55
% 1.43/0.55 tff(declare_a,type,a:$i).
% 1.43/0.55 tff(a_definition,axiom,a = alpha).
% 1.43/0.55 tff(declare_b,type,b:$i).
% 1.43/0.55 tff(b_definition,axiom,b = alpha).
% 1.43/0.55 tff(declare_beta,type,beta:$i).
% 1.43/0.55 tff(beta_definition,axiom,beta = alpha).
% 1.43/0.55 tff(declare_c,type,c:$i).
% 1.43/0.55 tff(c_definition,axiom,c = alpha).
% 1.43/0.55 tff(declare_d,type,d:$i).
% 1.43/0.55 tff(d_definition,axiom,d = alpha).
% 1.43/0.55 tff(declare_e,type,e:$i).
% 1.43/0.55 tff(e_definition,axiom,e = alpha).
% 1.43/0.55 tff(declare_r,type,r:$i).
% 1.43/0.55 tff(r_definition,axiom,r = gamma).
% 1.43/0.55 tff(declare_f,type,f:$i).
% 1.43/0.55 tff(f_definition,axiom,f = alpha).
% 1.43/0.55 tff(declare_g,type,g:$i).
% 1.43/0.55 tff(g_definition,axiom,g = gamma).
% 1.43/0.55 tff(declare_h,type,h:$i).
% 1.43/0.55 tff(h_definition,axiom,h = delta).
% 1.43/0.55 tff(declare_gammma,type,gammma:$i).
% 1.43/0.55 tff(gammma_definition,axiom,gammma = alpha).
% 1.43/0.55 tff(declare_apply,type,apply: $i * $i > $i).
% 1.43/0.55 tff(function_apply,axiom,
% 1.43/0.55 apply(alpha,alpha) = alpha
% 1.43/0.55 & apply(alpha,gamma) = gamma
% 1.43/0.55 & apply(alpha,delta) = delta
% 1.43/0.55 & apply(gamma,alpha) = gamma
% 1.43/0.55 & apply(gamma,gamma) = gamma
% 1.43/0.55 & apply(gamma,delta) = gamma
% 1.43/0.55 & apply(delta,alpha) = gamma
% 1.43/0.55 & apply(delta,gamma) = gamma
% 1.43/0.55 & apply(delta,delta) = gamma
% 1.43/0.55
% 1.43/0.55 ).
% 1.43/0.55
% 1.43/0.55 tff(declare_zero,type,zero: $i > $i).
% 1.43/0.55 tff(function_zero,axiom,
% 1.43/0.55 zero(alpha) = gamma
% 1.43/0.55 & zero(gamma) = gamma
% 1.43/0.55 & zero(delta) = gamma
% 1.43/0.55
% 1.43/0.55 ).
% 1.43/0.55
% 1.43/0.55 tff(declare_subtract,type,subtract: $i * $i * $i > $i).
% 1.43/0.55 tff(function_subtract,axiom,
% 1.43/0.55 subtract(alpha,alpha,alpha) = gamma
% 1.43/0.55 & subtract(alpha,alpha,gamma) = alpha
% 1.43/0.55 & subtract(alpha,alpha,delta) = delta
% 1.43/0.55 & subtract(alpha,gamma,alpha) = alpha
% 1.43/0.55 & subtract(alpha,gamma,gamma) = gamma
% 1.43/0.55 & subtract(alpha,gamma,delta) = delta
% 1.43/0.55 & subtract(alpha,delta,alpha) = alpha
% 1.43/0.55 & subtract(alpha,delta,gamma) = delta
% 1.43/0.55 & subtract(alpha,delta,delta) = gamma
% 1.43/0.55 & subtract(gamma,alpha,alpha) = gamma
% 1.43/0.55 & subtract(gamma,alpha,gamma) = gamma
% 1.43/0.55 & subtract(gamma,alpha,delta) = alpha
% 1.43/0.55 & subtract(gamma,gamma,alpha) = alpha
% 1.43/0.55 & subtract(gamma,gamma,gamma) = gamma
% 1.43/0.55 & subtract(gamma,gamma,delta) = delta
% 1.43/0.55 & subtract(gamma,delta,alpha) = alpha
% 1.43/0.55 & subtract(gamma,delta,gamma) = alpha
% 1.43/0.55 & subtract(gamma,delta,delta) = alpha
% 1.43/0.55 & subtract(delta,alpha,alpha) = gamma
% 1.43/0.55 & subtract(delta,alpha,gamma) = alpha
% 1.43/0.55 & subtract(delta,alpha,delta) = delta
% 1.43/0.55 & subtract(delta,gamma,alpha) = alpha
% 1.43/0.55 & subtract(delta,gamma,gamma) = gamma
% 1.43/0.55 & subtract(delta,gamma,delta) = delta
% 1.43/0.55 & subtract(delta,delta,alpha) = alpha
% 1.43/0.55 & subtract(delta,delta,gamma) = delta
% 1.43/0.55 & subtract(delta,delta,delta) = gamma
% 1.43/0.55
% 1.43/0.55 ).
% 1.43/0.55
% 1.43/0.55 tff(declare_morphism,type,morphism: $i * $i * $i > $o ).
% 1.43/0.55 tff(predicate_morphism,axiom,
% 1.43/0.55 morphism(alpha,alpha,alpha)
% 1.43/0.55 & ~morphism(alpha,alpha,gamma)
% 1.43/0.55 & ~morphism(alpha,alpha,delta)
% 1.43/0.55 & ~morphism(alpha,gamma,alpha)
% 1.43/0.55 & ~morphism(alpha,gamma,gamma)
% 1.43/0.55 & ~morphism(alpha,gamma,delta)
% 1.43/0.55 & ~morphism(alpha,delta,alpha)
% 1.43/0.55 & ~morphism(alpha,delta,gamma)
% 1.43/0.55 & ~morphism(alpha,delta,delta)
% 1.43/0.55 & morphism(gamma,alpha,alpha)
% 1.43/0.55 & ~morphism(gamma,alpha,gamma)
% 1.43/0.55 & ~morphism(gamma,alpha,delta)
% 1.43/0.55 & ~morphism(gamma,gamma,alpha)
% 1.43/0.55 & ~morphism(gamma,gamma,gamma)
% 1.43/0.55 & ~morphism(gamma,gamma,delta)
% 1.43/0.55 & ~morphism(gamma,delta,alpha)
% 1.43/0.55 & ~morphism(gamma,delta,gamma)
% 1.43/0.55 & ~morphism(gamma,delta,delta)
% 1.43/0.55 & ~morphism(delta,alpha,alpha)
% 1.43/0.55 & morphism(delta,alpha,gamma)
% 1.43/0.55 & ~morphism(delta,alpha,delta)
% 1.43/0.55 & ~morphism(delta,gamma,alpha)
% 1.43/0.55 & ~morphism(delta,gamma,gamma)
% 1.43/0.55 & ~morphism(delta,gamma,delta)
% 1.43/0.55 & ~morphism(delta,delta,alpha)
% 1.43/0.55 & morphism(delta,delta,gamma)
% 1.43/0.55 & ~morphism(delta,delta,delta)
% 1.43/0.55
% 1.43/0.55 ).
% 1.43/0.55
% 1.43/0.55 tff(declare_element,type,element: $i * $i > $o ).
% 1.43/0.55 tff(predicate_element,axiom,
% 1.43/0.55 element(alpha,alpha)
% 1.43/0.55 & ~element(alpha,gamma)
% 1.43/0.55 & element(alpha,delta)
% 1.43/0.55 & element(gamma,alpha)
% 1.43/0.55 & element(gamma,gamma)
% 1.43/0.55 & element(gamma,delta)
% 1.43/0.55 & element(delta,alpha)
% 1.43/0.55 & ~element(delta,gamma)
% 1.43/0.55 & element(delta,delta)
% 1.43/0.55
% 1.43/0.55 ).
% 1.43/0.55
% 1.43/0.55 tff(declare_injection,type,injection: $i > $o ).
% 1.43/0.55 tff(predicate_injection,axiom,
% 1.43/0.55 injection(alpha)
% 1.43/0.55 & ~injection(gamma)
% 1.43/0.55 & ~injection(delta)
% 1.43/0.55
% 1.43/0.55 ).
% 1.43/0.55
% 1.43/0.55 tff(declare_surjection,type,surjection: $i > $o ).
% 1.43/0.55 tff(predicate_surjection,axiom,
% 1.43/0.55 surjection(alpha)
% 1.43/0.55 & ~surjection(gamma)
% 1.43/0.55 & surjection(delta)
% 1.43/0.55
% 1.43/0.55 ).
% 1.43/0.55
% 1.43/0.55 tff(declare_exact,type,exact: $i * $i > $o ).
% 1.43/0.55 tff(predicate_exact,axiom,
% 1.43/0.55 ~exact(alpha,alpha)
% 1.43/0.55 & exact(alpha,gamma)
% 1.43/0.55 & exact(alpha,delta)
% 1.43/0.55 & exact(gamma,alpha)
% 1.43/0.55 & ~exact(gamma,gamma)
% 1.43/0.55 & ~exact(gamma,delta)
% 1.43/0.55 & ~exact(delta,alpha)
% 1.43/0.55 & ~exact(delta,gamma)
% 1.43/0.55 & exact(delta,delta)
% 1.43/0.55
% 1.43/0.55 ).
% 1.43/0.55
% 1.43/0.55 tff(declare_commute,type,commute: $i * $i * $i * $i > $o ).
% 1.43/0.55 tff(predicate_commute,axiom,
% 1.43/0.55 commute(alpha,alpha,alpha,alpha)
% 1.43/0.55 & ~commute(alpha,alpha,alpha,gamma)
% 1.43/0.55 & commute(alpha,alpha,alpha,delta)
% 1.43/0.55 & ~commute(alpha,alpha,gamma,alpha)
% 1.43/0.55 & ~commute(alpha,alpha,gamma,gamma)
% 1.43/0.55 & ~commute(alpha,alpha,gamma,delta)
% 1.43/0.55 & commute(alpha,alpha,delta,alpha)
% 1.43/0.55 & commute(alpha,alpha,delta,gamma)
% 1.43/0.55 & ~commute(alpha,alpha,delta,delta)
% 1.43/0.55 & ~commute(alpha,gamma,alpha,alpha)
% 1.43/0.55 & commute(alpha,gamma,alpha,gamma)
% 1.43/0.55 & commute(alpha,gamma,alpha,delta)
% 1.43/0.55 & commute(alpha,gamma,gamma,alpha)
% 1.43/0.55 & commute(alpha,gamma,gamma,gamma)
% 1.43/0.55 & ~commute(alpha,gamma,gamma,delta)
% 1.43/0.55 & commute(alpha,gamma,delta,alpha)
% 1.43/0.55 & commute(alpha,gamma,delta,gamma)
% 1.43/0.55 & ~commute(alpha,gamma,delta,delta)
% 1.43/0.55 & commute(alpha,delta,alpha,alpha)
% 1.43/0.55 & commute(alpha,delta,alpha,gamma)
% 1.43/0.55 & commute(alpha,delta,alpha,delta)
% 1.43/0.55 & commute(alpha,delta,gamma,alpha)
% 1.43/0.55 & commute(alpha,delta,gamma,gamma)
% 1.43/0.55 & commute(alpha,delta,gamma,delta)
% 1.43/0.55 & commute(alpha,delta,delta,alpha)
% 1.43/0.55 & commute(alpha,delta,delta,gamma)
% 1.43/0.55 & ~commute(alpha,delta,delta,delta)
% 1.43/0.55 & ~commute(gamma,alpha,alpha,alpha)
% 1.43/0.55 & commute(gamma,alpha,alpha,gamma)
% 1.43/0.55 & commute(gamma,alpha,alpha,delta)
% 1.43/0.55 & commute(gamma,alpha,gamma,alpha)
% 1.43/0.55 & commute(gamma,alpha,gamma,gamma)
% 1.43/0.55 & commute(gamma,alpha,gamma,delta)
% 1.43/0.55 & commute(gamma,alpha,delta,alpha)
% 1.43/0.55 & commute(gamma,alpha,delta,gamma)
% 1.43/0.55 & commute(gamma,alpha,delta,delta)
% 1.43/0.55 & ~commute(gamma,gamma,alpha,alpha)
% 1.43/0.55 & commute(gamma,gamma,alpha,gamma)
% 1.43/0.55 & commute(gamma,gamma,alpha,delta)
% 1.43/0.55 & commute(gamma,gamma,gamma,alpha)
% 1.43/0.55 & commute(gamma,gamma,gamma,gamma)
% 1.43/0.55 & commute(gamma,gamma,gamma,delta)
% 1.43/0.55 & commute(gamma,gamma,delta,alpha)
% 1.43/0.55 & commute(gamma,gamma,delta,gamma)
% 1.43/0.55 & commute(gamma,gamma,delta,delta)
% 1.43/0.55 & commute(gamma,delta,alpha,alpha)
% 1.43/0.55 & commute(gamma,delta,alpha,gamma)
% 1.43/0.55 & commute(gamma,delta,alpha,delta)
% 1.43/0.55 & commute(gamma,delta,gamma,alpha)
% 1.43/0.55 & commute(gamma,delta,gamma,gamma)
% 1.43/0.55 & commute(gamma,delta,gamma,delta)
% 1.43/0.55 & commute(gamma,delta,delta,alpha)
% 1.43/0.55 & commute(gamma,delta,delta,gamma)
% 1.43/0.55 & commute(gamma,delta,delta,delta)
% 1.43/0.55 & commute(delta,alpha,alpha,alpha)
% 1.43/0.55 & commute(delta,alpha,alpha,gamma)
% 1.43/0.55 & commute(delta,alpha,alpha,delta)
% 1.43/0.55 & commute(delta,alpha,gamma,alpha)
% 1.43/0.55 & commute(delta,alpha,gamma,gamma)
% 1.43/0.55 & commute(delta,alpha,gamma,delta)
% 1.43/0.55 & commute(delta,alpha,delta,alpha)
% 1.43/0.55 & commute(delta,alpha,delta,gamma)
% 1.43/0.55 & commute(delta,alpha,delta,delta)
% 1.43/0.55 & commute(delta,gamma,alpha,alpha)
% 1.43/0.55 & commute(delta,gamma,alpha,gamma)
% 1.43/0.55 & commute(delta,gamma,alpha,delta)
% 1.43/0.55 & commute(delta,gamma,gamma,alpha)
% 1.43/0.55 & commute(delta,gamma,gamma,gamma)
% 1.43/0.55 & commute(delta,gamma,gamma,delta)
% 1.43/0.55 & commute(delta,gamma,delta,alpha)
% 1.43/0.55 & commute(delta,gamma,delta,gamma)
% 1.43/0.55 & commute(delta,gamma,delta,delta)
% 1.43/0.55 & commute(delta,delta,alpha,alpha)
% 1.43/0.55 & commute(delta,delta,alpha,gamma)
% 1.43/0.55 & commute(delta,delta,alpha,delta)
% 1.43/0.55 & commute(delta,delta,gamma,alpha)
% 1.43/0.55 & commute(delta,delta,gamma,gamma)
% 1.43/0.55 & commute(delta,delta,gamma,delta)
% 1.43/0.55 & commute(delta,delta,delta,alpha)
% 1.43/0.55 & commute(delta,delta,delta,gamma)
% 1.43/0.55 & commute(delta,delta,delta,delta)
% 1.43/0.55
% 1.43/0.55 ).
% 1.43/0.55
% 1.43/0.55 % SZS output end FiniteModel for theBenchmark
% 1.43/0.55 % (3072)------------------------------
% 1.43/0.55 % (3072)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.43/0.55 % (3072)Termination reason: Satisfiable
% 1.43/0.55
% 1.43/0.55 % (3072)Memory used [KB]: 2172
% 1.43/0.55 % (3072)Time elapsed: 0.162 s
% 1.43/0.55 % (3072)Instructions burned: 474 (million)
% 1.43/0.55 % (3072)------------------------------
% 1.43/0.55 % (3072)------------------------------
% 1.43/0.55 % (3071)Success in time 0.177 s
%------------------------------------------------------------------------------